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Finding the Fourth Proportional to 30,148.80, 41,602.38 and 16,719.82

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Solution

The fourth proportional to 30,148.80, 41,602.38 and 16,719.82 is: 23,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,148.80 : 41,602.38 = 16,719.82 : x
  2. Step 2: Convert to fraction form
    30,148.80/41,602.38 = 16,719.82/x
  3. Step 3: Cross multiply
    30,148.80x = 41,602.38 × 16,719.82
  4. Step 4: Simplify right side
    30,148.80x = 695,584,305.17
  5. Step 5: Solve for x
    x = 695,584,305.17/30,148.80
  6. Step 6: Final answer
    x = 23,071.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.